How do you convert degrees to minutes in trigonometry?

How do you convert degrees to minutes in trigonometry?

To convert decimal degree to degree, minutes, and seconds, the whole units of degrees will remain the same. Multiply the decimal by 60 . The whole number becomes the minutes.

How do you prove 1 degree equals 60 minutes?

If you take minute to be the unit of time then the first result holds wherein 1 degree = 4 minute. This is easy to calculate too: There are 24 hours in one day and 60 minutes in one hour, equalling 24*60 = 1440 minutes in a day.

Why is an hour 60 minutes?

Who decided on these time divisions? THE DIVISION of the hour into 60 minutes and of the minute into 60 seconds comes from the Babylonians who used a sexagesimal (counting in 60s) system for mathematics and astronomy. They derived their number system from the Sumerians who were using it as early as 3500 BC.

How many degrees are there in 2 hours?

Hour angles to Degrees

1 Hour angles = 15 Degrees 10 Hour angles = 150 Degrees
2 Hour angles = 30 Degrees 20 Hour angles = 300 Degrees
3 Hour angles = 45 Degrees 30 Hour angles = 450 Degrees
4 Hour angles = 60 Degrees 40 Hour angles = 600 Degrees
5 Hour angles = 75 Degrees 50 Hour angles = 750 Degrees

How many degrees does the hour hand turn in 5 hours?

The hour hand rotates 360° in 12 hours. 5 minutes is 112 of an hour.

How many degrees does the hour hand covers in 20 minutes?

For a minute, the hour hand rotates by 30/60 = 1/2 degrees. hence, for 20 minutes it rotates by an angle of 20*1/2 = 10 degrees.

Why can you skip count by 5 to show there are 60 minutes in an hour?

Skip count in fives to find out how many minutes are in one hour. When we look at the clock face, one hour is once all the way around. And so, one hour is the same as the minute hand starting at the 12 and go all the way round back to the 12 again.

How long would a day be if a minute was 100 seconds?

Now, according to your question, if 100 seconds would make 1 minute, then a day would be made of 86400/100= 864 minutes and if 100 minutes would make 1 hour, then a day would be made of 864/100=8.64 hours.

Why are there 60 minutes in an hour instead of 100?

The Babylonians made astronomical calculations in the sexagesimal (base 60) system they inherited from the Sumerians, who developed it around 2000 B.C. Although it is unknown why 60 was chosen, it is notably convenient for expressing fractions, since 60 is the smallest number divisible by the first six counting numbers …

Why is there no 100 minutes in an hour?

Why can’t it be 100 minutes per hour? 24 hours are divided into two parts – a day lasting 12 hours and a night lasting 12 hours. The Egyptians and Babylonians, were the first to divide the day into smaller parts. They used duodecimal (base 12) and sexagesimal (base 60) numeral systems.